Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/53041
Type: Artigo de periódico
Title: A convex optimization procedure to compute H-2 and H-infinity norms for uncertain linear systems in polytopic domains
Author: Oliveira, RCLF
Peres, PLD
Abstract: In this paper, a convergent numerical procedure to compute H-2 and H-infinity norms of uncertain time-invariant linear systems in polytopic domains is proposed. The norms are characterized by means of homogeneous polynomially parameter-dependent Lyapunov functions of arbitrary degree g solving parameter-dependent linear matrix inequalities. Using an extension of Polya's Theorem to the case of matrix-valued polynomials, a sequence of linear matrix inequalities is constructed in terms of an integer d providing a Lyapunov solution for a given degree g and guaranteed H-2 and H-infinity costs whenever such a solution exists. As the degree of the homogeneous polynomial matrices increases, the guaranteed costs tend to the worst-case norm evaluations in the polytope. Both continuous- and discrete-time uncertain systems are investigated, as illustrated by numerical examples that include comparisons with other techniques from the literature. Copyright (C) 2007 John Wiley & Sons, Ltd.
Subject: uncertain linear systems
convex optimization
linear matrix inequalities
H-2 and H-infinity norms
homogeneous polynomially parameter-dependent Lyapunov functions
Polya's Theorem
Country: Inglaterra
Editor: John Wiley & Sons Ltd
Rights: aberto
Identifier DOI: 10.1002/oca.825
Date Issue: 2008
Appears in Collections:Unicamp - Artigos e Outros Documentos

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